Thursday

July 2, 2015

July 2, 2015

**integral calculus**

Integrate with respect to x : ∫3−1x7+x2−−ͨ2;−−√dx
*Wednesday, April 22, 2015 by yomi*

**calculus**

A firework is launched at the rate of 10 feet per second from a point on the ground 50 feet from an observer. To 2 decimal places in radians per second, find the rate of change of the angle of elevation when the firework is 40 feet above the ground. Type your answer in the ...
*Monday, April 20, 2015 by emma *

**Calculus**

A fence 4 feet tall runs parallel to a tall building at a distance of 2 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
*Monday, April 20, 2015 by Anonymous*

**math**

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = e^(3t^2) − 3t dt from 4 to x
*Monday, April 20, 2015 by jessica*

**Calculus**

Consider the function f : [-pi,pi] --> R given by f(x) = e^-x*sin(x). (a) Calculate local maxima/minima and points of in ection of f(x).
*Monday, April 20, 2015 by Galagan*

**Calculus check and help**

Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. Find the the area of R. B. Find the value of z so that x=z cuts the solid R into two parts with equal area. C. Find the...
*Sunday, April 19, 2015 by Anonymous*

**Calculus**

Evaluate the integral f sin(x)/1-sin^2(x) dx
*Sunday, April 19, 2015 by joe9*

**Calculus**

Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. The region R is the base of a solid. For this solid, the cross sections, perpendicular to the spx-axis, are rectangles ...
*Sunday, April 19, 2015 by Anonymous*

**Calculus**

Determine the interval on which f(x) = sqrt x-3 is integrable
*Sunday, April 19, 2015 by joe9*

**Calculus**

Give a Right-hand sum approximation of integral 1 to 4 of x^2 with n=4? I have done this problem alot and my teacher says the answer is 30 but I cant get it. HELP
*Sunday, April 19, 2015 by Jason*

**Calculus**

Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. Find the volume of the solid generated when R is revolved around the line y=pi. B. Fine the volume of the solid ...
*Sunday, April 19, 2015 by Anonymous*

**Pre-Calculus**

A sailboat in a lake travels 4 km due north and then 4 km due west. From there, the boat travels 5 km due north and 4 km due west. How far is the bboat from the starting point? Express your answer as a mixed radical. (How would I use radicals for this??) Thanks!
*Sunday, April 19, 2015 by Lucina*

**Calculus**

Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. Find the the area of R. B. Find the value of z so that x=z cuts the solid R into two parts with equal area. C. Find the...
*Sunday, April 19, 2015 by Anonymous*

**Calculus**

Write the Riemann sum to find the area under the graph of the function f(x) = x4 from x = 5 to x = 7.
*Saturday, April 18, 2015 by joe9*

**PRE - CALCULUS**

A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calories in her workout. Write an inequality that describes the situation. Let x represent the number of ...
*Friday, April 17, 2015 by Ciara*

**PRE - CALCULUS**

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x-y+3z = 12 x+4y+6z =-32 5x+3y+9z = 20 ...... I NEED HELP WITH THE OTHER TWO PLEASE :) 4 -1 3 | 12
1 4 6 | -32
5 3 9 | 20 1 0 0
...
*Friday, April 17, 2015 by Ciara*

**PRE - CALCULUS**

A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely. Sn: 1 + 4 + 7 + . . . + (3n - 2) = n(3n - 1)/2
*Friday, April 17, 2015 by Ciara*

**PRE - CALCULUS**

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work. Sn: 2+5+8+...+(3n-1)=n(1+3n)/2
*Friday, April 17, 2015 by Ciara*

**Calculus**

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 31 feet? A = x(31/2-1/4 (2+pi) x)+.5pi(x/2)^2 This is what I...
*Friday, April 17, 2015 by Ryan kustin*

**physics**

Answer the following question:Be sure to show all work. Include formulae and units.Be sure to include relavant, meaningful diagram and a complete circuit diagram with circuit related problem. take enough space, don't try to squeeze everything on a small space!(problems are...
*Friday, April 17, 2015 by titu*

**Ap Calculus **

Find the following volumes formed by rotating the region bounded by: y=x^2, x^2+y^2=-2 (set up using shell method)
*Thursday, April 16, 2015 by Kaylea *

**Ap Calculus**

How do I find the following volumes formed by rotating the region bounded by: y=x^2, x^2+y^2=2, about the line y=-2(set up only using dish or washer method)
*Thursday, April 16, 2015 by Kaylea *

**Calculus check and help**

Let R be the region bounded by the curves y=lnx^2 and y=x^2-4 to the right of the y-axis. A. Find the area of R. B. Find the folume geneated when R is rotated about the line y=-4. C. Write, but do not evaluate the integral expression that gives the volume of the solid ...
*Thursday, April 16, 2015 by Anonymous*

**Calculus check**

The functions f and g are given by f(x)=sqrt(x^3) and g(x)=16-2x. Let R be the region bounded by the x-axis and the graphs of f and g. A. Find the area of R. B. The region R from x=0 to x=4 is rotated about the line x=4. Write, but do not evaluate, an integral expression the ...
*Thursday, April 16, 2015 by Anonymous*

**calculus word prob**

Two buildings at opposite corners of a parking lot need to be connected by cable that will be buried under ground. It costs $11/ft to lay accross parking lot and $8/ft to lay along the sides. The lot is 300ft by 360 ft rect from pt A to the opposite corner with indents of 60ft...
*Thursday, April 16, 2015 by Anonymous*

**calculus**

Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = −3.
*Thursday, April 16, 2015 by Anonymous*

**calculus**

The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x2. Cross sections of the solid perpendicular to the x-axis are equilateral triangles. What is the volume, in cubic units, of the solid?
*Thursday, April 16, 2015 by Anonymous*

**calculus**

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x^3 − 9x on the interval [−1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem
*Thursday, April 16, 2015 by Anonymous*

**calculus**

An object has a constant acceleration of 40 ft/sec^2, an initial velocity of −20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.
*Thursday, April 16, 2015 by Anonymous*

**pre - CALCULUS**

Solve the system of equations using matrices. Use Gaussian elimination with back- substitution. x+y+z = -5 x-y+3z = -1 4x+y+z = -2
*Wednesday, April 15, 2015 by Ciara*

**pre - CALCULUS**

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x-y+3z = 12 x+4y+6z =-32 5x+3y+9z = 20
*Wednesday, April 15, 2015 by Ciara*

**pre - CALCULUS**

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x-y+3z = 12 x+4y+6z =-32 5x+3y+9z = 20
*Wednesday, April 15, 2015 by Ciara*

**calculus (please help. URGENT!)**

A hemispherical tank with a radius of 10m is filled from an input pipe at a rate of 3m^3/min. How fast is the water level rising when the water level is 5m from the bottom of the tank? (hint: the volume of the cap of thickness of h sliced from a sphere of radius r is pih^2(3r-...
*Wednesday, April 15, 2015 by Linda*

**calculus**

A hemispherical tank with a radius of 10m is filled from an input pipe at a rate of 3m^3/min. How fast is the water level rising when the water level is 5m from the bottom of the tank? (hint: the volume of the cap of thickness of h sliced from a sphere of radius r is pih^2(3r-...
*Wednesday, April 15, 2015 by Linda*

**calculus (optimization prob help!)**

Imagine a flat-bottomed cylinderal container with a circular cross section of radius 4 in. a marble with radius 0<r<4 inches is placed in the bottom of the can. what is the radius of the bottom that requires the most water to cover it. (include first or second derivative...
*Wednesday, April 15, 2015 by Linda*

**calculus (steps and explanation plz)**

Find a curve y=f(x) with the following properties (i) y"=6x and (ii) its graph passes through the point (1,1) and has a horizontal tangent there.
*Wednesday, April 15, 2015 by Linda*

**pre - CALCULUS**

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x-y+3z = 12 x+4y+6z =-32 5x+3y+9z = 20
*Wednesday, April 15, 2015 by Ciara*

**Pre - CALCULUS**

Graph the function. Then use your graph to find the indicated limit. You do not have to provide the graph f(x) = 5x - 3,lim x -->5 f(x)
*Wednesday, April 15, 2015 by Ciara*

**calculus**

3:For an object whose velocity in ft/sec is given by v(t) = −2t^2 + 4, what is its distance travelled, in feet, on the interval t = 0 to t = 2 secs? a:4.876 b:2.667 c:9.752 d:2.438
*Tuesday, April 14, 2015 by Anonymous*

**calculus multiple choice**

1.The region in the first quadrant bounded by the x-axis, the line x = ln(π), and the curve y = sin(e^x) is rotated about the x-axis. What is the volume of the generated solid? a: 0.906 b:0.795 c:2.846 d: 2.498 2.Find the average value of f(x)=2/x over the interval [1, 3...
*Tuesday, April 14, 2015 by Anonymous*

**PRE - CALCULUS**

Graph the function. Then use your graph to find the indicated limit. You do not have to provide the graph f(x) = 5x - 3,lim x -->5 f(x)
*Tuesday, April 14, 2015 by Ciara*

**Calculus**

We can find some of the solutions of sin x = 0.2 graphically by graphing y = sin x and y = 0.2 (I was able to figure this one out) Use the graph below to estimate some of the solutions. (Let −3π < x < 3π.) Enter your answers as a comma-separated list. ...
*Tuesday, April 14, 2015 by Angela*

**Pre - CALCULUS**

Graph the function. Then use your graph to find the indicated limit. You do not have to provide the graph f(x) = 5x - 3,lim x -->5 f(x)
*Tuesday, April 14, 2015 by Ciara*

**Pre-Calculus (Check)**

Please tell me what I'm doing wrong... The side lengths of tops of three squares tables can be described as three consecutive integers. The combined area of the table tops is 677 sq in. Algebraically, determine the roots of the quadratic equation. (I'll use quadratic, ...
*Tuesday, April 14, 2015 by Lucina*

**Calculus **

A rectangular page is to have a print area of 96 square inches. The top and bottom margins are to be 1.5 inches each and the left and right margins are to be 1 inch each. What dimensions will minimize the total area of the page. I got L=8sqr(2) But I'm not sure how to get...
*Monday, April 13, 2015 by Terry*

**calculus**

A 15-ft ladder rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 0.33 ft/sec, how fast, in ft/sec, is the bottom of the ladder sliding away from the wall, at the instant when the bottom of the ladder is 9 ft from the wall? Answer with 2 ...
*Monday, April 13, 2015 by emma *

**Calculus**

a) The value of a computer after t years after purchase is v(t) = 1000e^(-0.45t). At what rate is the computer's value falling after 5 years? b) Assume that the total revenue received from the sale of x items is given by R(x) = 32 ln (5x+3), while the total cost to produce...
*Monday, April 13, 2015 by Jack*

**calculus**

The area A = πr2 of a circular water ripple changes with the radius. At what rate does the area change with respect to the radius when r = 4ft?
*Monday, April 13, 2015 by emma *

**Pre-Calculus**

The equation H(t) = 30 + 24t - 6t^2 describes the height of a ball at any time t. What's the height of the ball after two seconds h = 30 + 24(2) + 6(2)^2 h = 30 + 48 -24 h = 54 units Therefore, the maximum height is 54 units
*Monday, April 13, 2015 by Lucina*

**calculus**

The height of a cylinder with a fixed radius of 4 cm is increasing at the rate of 2 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is 14cm.
*Monday, April 13, 2015 by emma *

**Calculus **

How can I solve this using Log differentiation? I'm not sure how to even start it. y=(cos(x)(x^2+9)^(2/3)/(sqr(x^3+2))
*Monday, April 13, 2015 by Cam*

**calculus**

The base of a solid is the region in the first quadrant bounded by the graph of y = 3/(e^x) , the x-axis, the y-axis, and the line x=2. Each cross section of this solid perpendicular to the x-axis is a square. What is the volume of the solid?
*Monday, April 13, 2015 by sss*

**pre - CALCULUS**

Solve the system by the substitution method. Show your work. 2y - x = 5 x2 + y2 - 25 = 0
*Monday, April 13, 2015 by Ciara*

**Calculus**

The management of the UNICO department store has decided to enclose an 870 ft2 area outside the building for displaying potted plants and flowers. One side will be formed by the external wall of the store, two sides will be constructed of pine boards, and the fourth side will ...
*Monday, April 13, 2015 by Joey*

**Pre - CALCULUS**

Solve the system by the substitution method. Show your work. 2y - x = 5 x2 + y2 - 25 = 0
*Monday, April 13, 2015 by Ciara*

**Pre - CALCULUS**

Locate the foci of the ellipse. Show your work. 𝑥2/36+ y2/11=1
*Monday, April 13, 2015 by Ciara*

**pre - CALCULUS**

Find the indicated sum. Show your work. 4 k=1 (-1)^k(k+11) ￼Inbetween the 4 and k , Theres a backwards 3 sign
*Monday, April 13, 2015 by Ciara*

**Pre-Calculus**

Have I converted correctly from standard form to vertex form? y = -3x^2 + 12x+1 = y = -3(x-2)^2 -13 Thanks
*Monday, April 13, 2015 by Lucina*

**PRE - CALCULUS**

Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. x = 6 cos t, y = 6 sin t; 0 ≤ t ≤ 2π A. x2 - y2 = 6; -6 ≤ x ≤ 6 B. x2 - y2 = 36; -6 ≤ x ≤ 6 C. x2 + y2 = 6; -6 ≤ x &#...
*Sunday, April 12, 2015 by Ciara*

**calculus rates**

The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at a rate of 4 square cm/minute. At what rate is the base of the triangle changing when the altitude is 10.5 centimeters and the area is 97 square ...
*Sunday, April 12, 2015 by Anonymous*

**Pre-calculus **

The sum of the first two terms of an arithmetic series is 13 and the sum of the four terms is 46. Determine the first six terms of the series and the sum of the first six terms.
*Sunday, April 12, 2015 by Tawana *

**Pre-calculus**

Can someone please help me with this problem.. I don't get it! Solve (sqrt 5r - 9)-3 = sqrt(r+4)-2
*Saturday, April 11, 2015 by Lucina*

**pre - CALCULUS**

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. x + y + z = 9 2x - 3y + 4z = 7 x - 4y + 3z = -2 A. {(-7z/5+34/5 ,2z/5 +11/5 , z)} b. {(- 7z/5+34/5 , 2z/5- 11/5 , z)} c . {( z/5+ 34/5 , 2z/5+11/5 , z)} C?
*Saturday, April 11, 2015 by Ciara*

**Pre - CALCULUS**

Find the inverse of the matrix, if possible. A = { 0 -6 } {-2 -5} A. 0 -1/2 -1/6 5/12 B. -1/6 0 5/12 - 1/2 C. 5/12 - 1/2 -1/6 0 D. 5/12 1/2 1/6 0 C ?
*Saturday, April 11, 2015 by Ciara*

**Pre - CALCULUS**

Use Cramer's rule to solve the system. 2x + 4y - z = 32 x - 2y + 2z = -5 5x + y + z = 20 A. {( 1, -9, -6)} B. {( 2, 7, 6)} C. {( 9, 6, 9)} D. {( 1, 9, 6)} d ?
*Saturday, April 11, 2015 by Ciara*

**Calculus**

The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at a rate of 4 square cm/minute. At what rate is the base of the triangle changing when the altitude is 10.5 centimeters and the area is 97 square ...
*Saturday, April 11, 2015 by Anonymous*

**pre - CALCULUS**

Let B = [-1 3 6 -3]. Find -4B. A. [-4 12 24 -12] B. [-3 1 4 -5] C. [4 -12 -24 12] D. [4 3 6 -3] b ?
*Saturday, April 11, 2015 by Ciara*

**pre - CALCULUS**

Use Cramer's rule to determine if the system is inconsistent system or contains dependent equations. 2x + y = 8 6x + 3y = 24 A. system is inconsistent B. system contains dependent equations b ?
*Saturday, April 11, 2015 by Ciara*

**pre - CALCULUS**

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. x + y = -8 x - y = 14 A. {( 3, -11)} B. {( 3, 11)} C. {(x, y) | x + y = -8} D. ∅ B?
*Saturday, April 11, 2015 by Ciara*

**calculus**

A cylindrical drum with an open top is to be constructed using 1 m^2 of aluminum a)write and equation for the volume of the drum in terms of radius b)what radius gives the direct maximum value? c)What is the maximum volume if the radius can be a maximum of 0.2m ? c)
*Saturday, April 11, 2015 by lotus*

**Calculus(easy)**

Suppose the derivative of a function f is f′(x)=(x−5)^3(x−3)^4(x+18)^8. Then the function f is increasing on the interval Can anyone please help me with this problem. It seems simple, but I just do not understand it.
*Friday, April 10, 2015 by Ryan kustin*

**Calculus(urgent please help)**

Consider the following function f(x)=x^2/[x^2-9] f(x) is increasing on the interval(s) f(x) is decreasing on the interval(s) f(x) has 2 vertical asymptotes x= f(x) is concave up on the interval(s) f(x) concave down on the interval(s) I've been stuck on these parts, I ...
*Friday, April 10, 2015 by Ryan kustin*

**pre - CALCULUS**

Complete the following: (a) Use the Leading Coefficient Test to determine the graph's end behavior. (b) Find the x-intercepts. State whether the graph crosses the x-axis or touches the x-axis and turns around at each intercept. Show your work. (c) Find the y-intercept. ...
*Friday, April 10, 2015 by Ciara*

**pre - CALCULUS**

Use the compound interest formulas A = Pert and A = P(1 + 𝑟/n)^nt to solve. Suppose that you have $11,000 to invest. Which investment yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually? Show your work.
*Friday, April 10, 2015 by Ciara*

**Pre - CALCULUS**

For the data set shown by the table, a. Create a scatter plot for the data. (You do not need to submit the scatter plot) b. Use the scatter plot to determine whether an exponential function or a logarithmic function is the best choice for modeling the data. Number of Homes ...
*Friday, April 10, 2015 by Ciara*

**Pre-calculus help**

I have two problems I am stuck on, if you could show me how to solve the problems it would be much appreciated. 1) Find sin 2x, cos 2x, and tan 2x from the given information. tan x = − 1/6, cos x > 0 sin 2x = cos 2x = tan 2x = 2) Find sin 2x, cos 2x, and tan 2x from ...
*Friday, April 10, 2015 by Holly*

**pre - CALCULUS**

Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to describe the graph the given function. h(x) = 2 | x | + 2
*Friday, April 10, 2015 by Ciara*

**pre - CALCULUS**

Find the specified vector or scalar. Show your work. u = -4i + 1j and v = 4i + 1j; Find ‖𝑢 + 𝑣‖.
*Friday, April 10, 2015 by Ciara*

**pre - CALCULUS**

Find functions f and g so that h(x) = (f ∘ g)(x). h(x) = (6x - 14)8
*Friday, April 10, 2015 by Ciara*

**pre - CALCULUS**

Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to describe the graph the given function. h(x) = 2 | x | + 2
*Friday, April 10, 2015 by Ciara*

**pre - CALCULUS**

Find the reference angle for the given angle. Show your work. -404° my answer is 44 degree , But i don't know how to put my work together..
*Friday, April 10, 2015 by Ciara*

**pre - CALCULUS**

Find functions f and g so that h(x) = (f ∘ g)(x). h(x) = (6x - 14)8
*Friday, April 10, 2015 by Ciara*

**Calculus I **

Hello, The pressure P and volume V of an expanding gas are related by the formula PVb=C, where b and C are constants (this holds in adiabatic expansion, without heat gain or loss). Find dPdt if b=1.6, P=12kPa, V=80cm2, and dVdt=20cm3/min. Thus far, I got d(PV)/dt= p(dv/dt) + V...
*Friday, April 10, 2015 by Natalie *

**Calculus**

Consider the following function f(x)=x^2/[x^2-9] f(x) is increasing on the interval(s) f(x) is decreasing on the interval(s) f(x) has 2 vertical asymptotes x= f(x) is concave up on the interval(s) f(x) concave down on the interval(s) I've been stuck on these parts for ...
*Friday, April 10, 2015 by Ryan kustin*

**Pre - CALCULUS**

Find the x-intercepts (if any) for the graph of the quadratic function. 6x2 +12x+5=0 Give your answers in exact form. Show your work.
*Friday, April 10, 2015 by Ciara*

**Calculus **

A road perpendicular to a highway leads to a farmhouse located 6 mile away. An automobile traveling on the highway passes through this intersection at a speed of 55mph. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 2 miles ...
*Friday, April 10, 2015 by Nicole*

**Calculus**

Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 7.5 mi^2/hr. How rapidly is radius of the spill increasing when the area is 8 mi^2? I tried using A=(pi)r^2 and dA/dt=2(pi)r(dr/dt) and plugging in 7.5=2(pi)8(dr/dt) but the ...
*Friday, April 10, 2015 by Ashley*

**Calculus**

A snowball melts at a rate of 2 cubic inch an hour. When the volume is 36π in^3, how fast is the radius shrinking? V=(4/3)(pi)(r^3)
*Friday, April 10, 2015 by Anonymous*

**Calculus**

The outside radius of a thin open-ended cylindrical shell (of height 10 feet) is 12 feet. If the shell is 1 inch thick, use differentials to approximate the volume of the region interior to the shell.
*Friday, April 10, 2015 by Anonymous*

**pre - CALCULUS**

The wind chill factor represents the equivalent air temperature at a standard wind speed that would produce the same heat loss as the given temperature and wind speed. One formula for computing the equivalent temperature is 𝑡 W(t) = {33 − (10.45+10√𝑣...
*Thursday, April 9, 2015 by Ciara*

**pre - CALCULUS**

Verify the identity. Show your work. (1 + tan2u)(1 - sin2u) = 1
*Thursday, April 9, 2015 by Ciara*

**pre - CALCULUS**

The wind chill factor represents the equivalent air temperature at a standard wind speed that would produce the same heat loss as the given temperature and wind speed. One formula for computing the equivalent temperature is 𝑡 W(t) = {33 − (10.45+10√𝑣...
*Thursday, April 9, 2015 by Ciara*

**pre - CALCULUS**

A gas company has the following rate schedule for natural gas usage in single-family residences: Monthly service charge Per therm service charge 1st 25 therms Over 25 therms $8.80 $0.6686/therm $0.85870/therm What is the charge for using 25 therms in one month? Show your work...
*Thursday, April 9, 2015 by Ciara*

**pre - CALCULUS**

Verify the identity. Show your work. cot θ ∙ sec θ = csc θ
*Thursday, April 9, 2015 by Ciara*

**Calculus**

During a certain epidemic, the number of people that are infected at any time increases at rate proportional to the number of people that are infected at that time. 1,000 people are infected when the epidemic is first discovered, and 1,200 are infected 7 days later. Write and ...
*Thursday, April 9, 2015 by Anonymous*

**Calculus**

The number of people that hear a rumor follows logistic growth. In a school of 1500 students, 5 students start a rumor. After 2 hours, 120 students have heard about the rumor. Recall: dy/dx=ky(1-Y/L) and y=L/(1+be^(-kt)) I found the logistic growth equation to be 1500/(1+299e...
*Thursday, April 9, 2015 by Anonymous*

**Calculus**

Find the particular solution (solved for y) for the differential equation dy/dx=2x/e^(2y) satisfying y(0)=1.
*Thursday, April 9, 2015 by Anonymous*

**Calculus**

A manufacturer has determined that the weekly profit from the sale of x items is given by the function below. It is estimated that after t days in an week, x items will have been produced. Find the rate of change of profit with respect to time at the end of 7 days. P9x) = -x^2...
*Thursday, April 9, 2015 by Stacey *

**CALCULUS **

Consider the function f(x)=9x3−4x5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(4) =
*Thursday, April 9, 2015 by Anonymous*

**Calculus**

Suppose that y=f(x) = sqrt(2x), x>=0 Find a c > 0 such that the tangent line to the curve y = f(x) at x = c has the same slope as the tangent line to the curve y = f^–1(x) at x = c. You get: c = 1/8 c = 1/2 c = (1/8)^(1/3) c = (1/3)^(2/3) c = (1/2)^(1/3)
*Thursday, April 9, 2015 by Thomas*